[PDF] Deformations Of An Elastic Earth eBook

Author : Lanzano
Publisher : Academic Press
Page : 245 pages
File Size : 34,82 MB
Release : 1983-01-07
Category : Science
ISBN : 0080954626

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Deformations of an Elastic Earth

Author : Shun-ichiro Karato
Publisher : Cambridge University Press
Page : 474 pages
File Size : 32,22 MB
Release : 2008-01-22
Category : Science
ISBN : 9780521844048

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This graduate textbook, first published in 2008, presents a comprehensive, unified treatment of the materials science of deformation as applied to solid Earth geophysics and geology. The deformation of Earth materials is presented in a systematic way covering elastic, anelastic and viscous deformation. Advanced discussions on relevant debates are also included to bring readers a full picture of science in this interdisciplinary area. This textbook is ideal for graduate courses on the rheology and dynamics of solid Earth, and includes review questions with solutions so readers can monitor their understanding of the material presented. It is also a much-needed reference for geoscientists in many fields including geology, geophysics, geochemistry, materials science, mineralogy and ceramics.

Author : Shun-ichiro Karato
Publisher : Cambridge University Press
Page : pages
File Size : 28,87 MB
Release : 2012-07-26
Category : Science
ISBN : 1139469568

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This graduate textbook presents a comprehensive, unified treatment of the materials science of deformation as applied to solid Earth geophysics and geology. The deformation of Earth materials is presented in a systematic way covering elastic, anelastic and viscous deformation. Advanced discussions on relevant debates are also included to bring readers a full picture of science in this interdisciplinary area. This textbook is ideal for graduate courses on the rheology and dynamics of solid Earth, and includes review questions with solutions so readers can monitor their understanding of the material presented. It is also a much-needed reference for geoscientists in many fields including geology, geophysics, geochemistry, materials science, mineralogy and ceramics.

Author : Paul Segall
Publisher : Princeton University Press
Page : 465 pages
File Size : 29,84 MB
Release : 2010-01-04
Category : Science
ISBN : 140083385X

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Earthquake and Volcano Deformation is the first textbook to present the mechanical models of earthquake and volcanic processes, emphasizing earth-surface deformations that can be compared with observations from Global Positioning System (GPS) receivers, Interferometric Radar (InSAR), and borehole strain- and tiltmeters. Paul Segall provides the physical and mathematical fundamentals for the models used to interpret deformation measurements near active faults and volcanic centers. Segall highlights analytical methods of continuum mechanics applied to problems of active crustal deformation. Topics include elastic dislocation theory in homogeneous and layered half-spaces, crack models of faults and planar intrusions, elastic fields due to pressurized spherical and ellipsoidal magma chambers, time-dependent deformation resulting from faulting in an elastic layer overlying a viscoelastic half-space and related earthquake cycle models, poroelastic effects due to faulting and magma chamber inflation in a fluid-saturated crust, and the effects of gravity on deformation. He also explains changes in the gravitational field due to faulting and magmatic intrusion, effects of irregular surface topography and earth curvature, and modern concepts in rate- and state-dependent fault friction. This textbook presents sample calculations and compares model predictions against field data from seismic and volcanic settings from around the world. Earthquake and Volcano Deformation requires working knowledge of stress and strain, and advanced calculus. It is appropriate for advanced undergraduates and graduate students in geophysics, geology, and engineering. Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html

Author : Arabinda Roy
Publisher : CRC Press
Page : 266 pages
File Size : 32,22 MB
Release : 2019-12-06
Category : Technology & Engineering
ISBN : 1000758885

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Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.

Author : Adewale Moroof Amosu
Publisher :
Page : pages
File Size : 23,23 MB
Release : 2014
Category :
ISBN :

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The Earth’s crust deforms in response to changes imposed upon it by the cryosphere, the atmosphere, and the hydrosphere. In this study, we consider the load exerted on the Earth by water masses. The resulting deformation signal of the Earth can be measured with high precision, using Global Positioning System (GPS) instruments.GPS observations show annual, inter-annual and in some cases, multi-year elastic displacement signals, characterized by periodicity. These elastic signals can be easily separated from tectonic and post-glacial rebound signals that may be present in the GPS observations. We focus our study on a regional scale, considering two prime examples of regions with surface loading phenomena: The Mississippi River basin and the Great Salt Lake basin. We make use of 13 and 16 year 3-component displacement time-series, measured using GPS stations in the New Madrid Seismic Zone (NMSZ) and the Great Salt Lake (GSL) regions respectively (16 stations in the NMSZ around the Mississippi River and 39 stations around the GSL). The changes in the vertical displacements are inversely correlated with the changes in river and lake stage measurements in the respective regions and decay with distance from the load. We model the interaction of the Earth’s surface with the load and use topographic, river/lake stage, groundwater and atmospheric data, together with a half-space model of the earth, to estimate the surface loading and response in the respective regions. We invert the observed response to obtain Young’s modulus values of 1̃33Gpa and 138Gpa respectively for the NMSZ and the GSL.

Author : Paolo Lanzano
Publisher :
Page : 39 pages
File Size : 40,46 MB
Release : 1980
Category :
ISBN :

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We have developed a differential system of equations for representing the deformations of a rotating elastic Earth which has a spheroidal shape and which is hydrostatically prestressed. Our system is meant to represent a more sophisticated model for the Earth's load tide than the ones hereto studied because of the inclusion of rotational terms. In this study, we have assumed that the rotational axis is fixed with respect to the spheroid and that the rotational velocity is constant. We have reached a linearized version of the Navier-Stokes equations consisting of six equations which simultaneously relate three orders of harmonics. We have a boundary-value problem whose solutions must be regular functions of the radial distance in the neighborhood of the center of the configuration and which must also satisfy three other conditions at the free surface varying according to loading conditions. Numerical integration of this differential system requires the knowledge of an Earth model consisting of a density profile and of the elastic parameters as functions of the radial distance. Because of the vanishing of the rigidity, the differential system valid for the liquid outer core shrinks to a system of only four equations; discontinuity of some of the variables are to be entertained at the interfaces between the liquid outer core and the solid inner core and/or the solid mantle. We briefly discuss the proposed method of numerical solution. (Author).

Author : Wolfgang H. Müller
Publisher : Springer
Page : 117 pages
File Size : 44,72 MB
Release : 2016-04-30
Category : Science
ISBN : 3319325809

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This book presents an in-depth continuum mechanics analysis of the deformation due to self-gravitation in terrestrial objects, such as the inner planets, rocky moons and asteroids. Following a brief history of the problem, modern continuum mechanics tools are presented in order to derive the underlying field equations, both for solid and fluid material models. Various numerical solution techniques are discussed, such as Runge-Kutta integration, series expansion, finite differences, and (adaptive) FE analysis. Analytical solutions for selected special cases, which are worked out in detail, are also included. All of these methods are then applied to the problem, quantitative results are compared, and the pros and cons of the analytical solutions and of all the numerical methods are discussed. The book culminates in a multi-layer model for planet Earth according to the PREM Model (Preliminary Earth Model) and in a viscoelastic analysis of the deformation problem, all from the viewpoint of rational continuum theory and numerical analysis.